Home
Class 11
PHYSICS
Two particles having masses of 2 kg and ...

Two particles having masses of 2 kg and 3 kg are moving along the same straight line with velocities of `3 ms^(-1) and 6 ms^(-1)` respectively. Calculate the speed of centre of mass of system if particles are moving in
(a) same direction. (b) in opposite direction.

Text Solution

AI Generated Solution

To solve the problem of finding the speed of the center of mass of two particles with given masses and velocities, we will follow these steps: ### Given Data: - Mass of particle 1 (m1) = 2 kg - Velocity of particle 1 (v1) = 3 m/s - Mass of particle 2 (m2) = 3 kg - Velocity of particle 2 (v2) = 6 m/s ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE (OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS) (MULTIPLE CHOICE QUESTIONS WITH ONLY ONE CORRECT ANSWER) )|67 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( OBJECTIVE TYPE QUESTIONS (JEE (Main) & Other State Boards for Engineering Entrance) )|48 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise REVISION EXERCISES (Long Answer Questions Carrying 5 marks)|8 Videos
  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos
  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

Two particle of mass 2 kg and 1 kg are moving along the same straight line with speeds 2m//s and 5m//s respectively. What is the speed of the centre of mass of the system if both the particles are moving (a) in same direction (b) in opposite direction ?

Two bodies of masses 2 kg and 1 kg are moving along the same line with speeds 2ms^(-1) and 5 ms^(-1) respectively. What is the speed of the centre of mass of the system if the two bodies are moving (i) in same direction and (ii) in opposite directions?

Knowledge Check

  • Two particles of mass 1 kg and 0.5 kg are moving in the same direction with speed of 2 m//s and 6 m/s respectively on a smooth horizontal surface. The speed of centre of mass of the system is

    A
    `(10)/(3) m//s`
    B
    `(10)/(7) m//s`
    C
    `(11)/(2) m//s`
    D
    `(12)/(3) m//s`
  • Two particles A and B of masses 10 kg and 38 kg, respectively, are moving along the same straight line with velocities 15 m/s and 3 m/s, respectively, in the same direction. After elastic collision, the velocities of A and B are v_A and v_B , respectively, in the direction of initial motion. Then

    A
    `v_A = 20 m//s, v_B = 8 m/s `
    B
    `v_A = – 4 m//s, v_B = 8 m//s`
    C
    `v_A = 16 m/s, v_B = 28 m//s`
    D
    `v_A = – 5 m//s, v_B = 10 m//s`
  • Two particles of masses 2 kg and 4 kg are approaching each other with acceleration 1 ms^(-2) and 2 ms^(-2) , respectively, on a smooth horizontal surface. Find the acceleration of center of mass of the system.

    A
    `1`
    B
    `2`
    C
    `3`
    D
    `4`
  • Similar Questions

    Explore conceptually related problems

    Two particles of mass 1kg and 2kg are moving along the same line with speeds 2m//s and 4m//s respectively. Calculate the speed of the centre of mass of the system if both the particles are moving in the same direction.

    Two particles of equal mass are moving along the same straight line with the same speed in opposite direction. What is the speed of the centre of mass of the system ?

    Two particles of equal mass are moving along the same line with the same speed in the same direction. What is the speed of the centre of mass of the system ?

    Two bodies of masses 5 kg and 3 kg moving in the same direction along the same straingh line with velocities 5 ms^(-1) and 3 ms^(-1) respectively suffer one-dimensional elastic collision . Find their velocities after the collision .

    Two bodies of masses 5kg and 3kg are moving towards each other with 2ms^(-1) and 4ms^(-1) respectively. Then velocity of centre of mass is